g According to Major League Baseball rules, a baseball should weigh between 5 and 5.25 ounces and have a circumference of between 9 and 9.25 inches. Suppose the weight of a baseball (in ounces) has a uniform distribution with a 5 5.085 and b 5 5.155, and the circumference (in inches) has a uniform distribution with a 5 9.0 and b 5 9.1. a. Find the probability that a randomly selected baseball has a weight greater than 5.14 ounces. Write a Solution Trail for this problem. b. Find the probability that a randomly selected baseball has a circumference less than 9.03 inches. c. Suppose the weight and the circumference are independent. Find the probability that a randomly selected baseball will have a weight between 5.11 and 5.13 ounces and a circumference between 9.04 and 9.06 inches.

Question

Mariah Atkinson

Mathematics

26 August, 18:58

g According to Major League Baseball rules, a baseball should weigh between 5 and 5.25 ounces and have a circumference of between 9 and 9.25 inches. Suppose the weight of a baseball (in ounces) has a uniform distribution with a 5 5.085 and b 5 5.155, and the circumference (in inches) has a uniform distribution with a 5 9.0 and b 5 9.1. a. Find the probability that a randomly selected baseball has a weight greater than 5.14 ounces. Write a Solution Trail for this problem. b. Find the probability that a randomly selected baseball has a circumference less than 9.03 inches. c. Suppose the weight and the circumference are independent. Find the probability that a randomly selected baseball will have a weight between 5.11 and 5.13 ounces and a circumference between 9.04 and 9.06 inches.

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Angelina Spears · Answer 1

a) e probability that a randomly selected baseball has a weight greater than 5.14 ounces

=P (X>5.14) = (b-x) / (b-a) = (5.155-5.14) / (5.155-5.085) = 0.2143

b)

probability that a randomly selected baseball has a circumference less than 9.03 inches

=P (X<9.03) = (x-a) / (b-a) = (9.03-9) / (9.1-9) = 0.3

c) probability that a randomly selected baseball will have a weight between 5.11 and 5.13 ounces and a circumference between 9.04 and 9.06 inches

= ((5.13-5.11) / (5.155-5.085)) * ((9.06-9.04) / (9.1-9.0)) = 0.0571